We study the large-scale geometry of Weil-Petersson space, that is, Teichmüller space equipped with the Weil-Petersson metric. We show that this admits a natural coarse median structure of a specific rank. Given that this is equal to the maximal dimension of a quasi-isometrically embedded euclidean space, we recover a result of Eskin Masur and Rafi which gives the coarse rank of the space. We g...

— In this paper we show that the invariant polynomial ring of the associated Clifford-Weil group can be embedded into the ring of Jacobi modular forms over the totally real field, so, therefore, that of Hilbert modular forms over the totally real field. Résumé (Anneau des invariants du groupe de Clifford-Weil, et forme de Jacobi sur un corps totallement réel) Dans cet article nous démontrons qu...

Weil construyó inteligibilidad mediante una escritura que desenraiza el pensamiento de conceptos habituales. Sus reflexiones sobre la fuerza indican solo leemos sensaciones mundo nos ofrece nuestro cuerpo resultará determinante para propiciar transposiciones semánticas modifiquen lo ser humano lee en realidad. De aquí alcance político cuerpos y discursos conversación transversal las institucion...

Background. The cause of frequent falling in patients with dementia of the Alzheimer type (AD) is not weil understood. Distraction from incongruent visual stimuli may be an important factor as suggested by their poor performance in tests of shifting visual attention in other studies. The purpose of this study was to determine whether AD patients have difficulty maintaining upright balance under...

The Weil sum WK,d(a) = ∑ x∈K ψ(x d + ax) where K is a finite field, ψ is an additive character of K, d is coprime to |K|, and a ∈ K arises often in number-theoretic calculations, and in applications to finite geometry, cryptography, digital sequence design, and coding theory. Researchers are especially interested in the case where WK,d(a) assumes three distinct values as a runs through K. A Gal...

1 Takeda GmbH, Zurich, Switzerland 2 IEMS, University of Lausanne, Switzerland 3 MArS Market Access & Pricing Strategy GmbH, Weil am Rhein, Germany 4 State University Baden Wuerttemberg, Loerach, Germany 5 Riedlingen University, SRH FernHochschule, Riedlingen, Germany Corresponding author: Dr. Stefan Walzer MArS Market Access & Pricing Strategy GmbH Geffelbachstr. 6 79576 Weil am Rhein Germany ...

With contributions from: Maarten Menken, Heiner Stuckenschmidt, Holger Wache (Vrije Universiteit Amsterdam) Luciano Serafini (Centro per la Ricerca Scientifica e Tecnologica, Trento) Andrei Tamilin (Università degli Studi di Trento) Mustafa Jarrar (Vrije Universiteit Brussel) Fabio Porto (Ecole Polytechnique Fédérale de Lausanne) Christine Parent (Université de Lausanne) Alan Rector, Jeff Pan (...

This book is about elliptic curves and modular functions, two topics that are intimately related in both accidental and essential ways. As emphasized by André Weil in his magisterial historical introduction to contemporary number theory [W], the arithmetic study of elliptic curves is, in spite of the clear reference to the integral calculus in the adjective elliptic, in many respects antecedent...

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